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Finding the Fourth Proportional to 9,875.82, 13,628.64 and 5,399.58

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Solution

The fourth proportional to 9,875.82, 13,628.64 and 5,399.58 is: 7,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.82 : 13,628.64 = 5,399.58 : x
  2. Step 2: Convert to fraction form
    9,875.82/13,628.64 = 5,399.58/x
  3. Step 3: Cross multiply
    9,875.82x = 13,628.64 × 5,399.58
  4. Step 4: Simplify right side
    9,875.82x = 73,588,931.97
  5. Step 5: Solve for x
    x = 73,588,931.97/9,875.82
  6. Step 6: Final answer
    x = 7,451.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.